Representing An Inequality On A Number Line

Representing An Inequality On A Number Line

Match Inequalities to Graphs

Opening

Match Inequalities to Graphs

  • Match each inequality to a number line.
  • Write the inequality in words in the space provided; for example, "x is less than 5."

INTERACTIVE: Match Inequalities to Graphs

Math Mission

Opening

Represent inequalities on a number line and find at least one value that makes the inequality true.

Inequalities and Number Lines

Work Time

Inequalities and Number Lines

For each inequality do the following.

  • Represent the inequality on a number line using the number line interactive.
  • Write one value that makes the inequality true.
  • Write the inequality using words.
    1. x ≥ –2
    2. x < 4
    3. 12 ≥ x
    4. x ≤ −3.5
    5. x < 1.5

INTERACTIVE: Inequalities and Number Lines

Hint:

  • Where is the number located on the number line?
  • Should the starting point be a closed circle or an open circle?
  • What is one value that makes the inequality true? Is that value shaded on the number line?

Write About the Number Line

Work Time

Write About the Number Line

  • Write about a real-world situation that could be represented by this number line.

Hint:

Think about situations involving age, money, or weight.

Prepare a Presentation

Step 1: Work Time

Prepare a Presentation

  • Explain how you represented an inequality on a number line.
  • Support your explanation with your work.

Step 2: Work Time

Challenge Problem

Denzel says that because 2<5, that means −2<−5.

  • Do you agree? Explain why or why not.

Make Connections

Performance Task

Ways of Thinking: Make Connections

Take notes about your classmates’ representations of inequalities on a number line.

Hint:

As your classmates present, ask questions such as:

  • Why is the circle filled in?
  • Why is the circle open?
  • Why does the line go in that direction?
  • Explain why –4 is less than –3.5.
  • What is the greatest number that x could be?

Inequalities

Formative Assessment

Summary of the Math: Inequalities

Read and Discuss

  • An inequality is a relationship that holds between two values that are different.

  • a < b means that a is less than b (or, equivalently, that b is greater than a).

  • a > b means that a is greater than b (or, equivalently, that b is less than a).

  • ab means that a is less than or equal to b (or, equivalently, that b is greater than or equal to a).

  • ab means that a is greater than or equal to b (or, equivalently, that b is less than or equal to a).

Hint:

Can you:

  • Explain the meaning of each inequality symbol?
  • Show how each type of inequality is represented on a number line?

Solve and Use Equations

Formative Assessment

Solve and Use Equations

Complete this Self Check by yourself.

For each equation do the following.

  • Solve the equation. Name the property of equality you use and show each step.
  • Write and solve a word problem that each equation could represent.
  1. x + 5 = 17
  2. 4x = 22
  3. x6=58

Reflect On Your Work

Work Time

Reflect On Your Work

Write a reflection about the ideas discussed in class today. Use the sentence starter below if you find it to be helpful.

One place outside of the classroom where I have seen inequalities is …